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Finding the Fourth Proportional to 3,469.74, 4,787.42 and 1,977.72

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Solution

The fourth proportional to 3,469.74, 4,787.42 and 1,977.72 is: 2,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.74 : 4,787.42 = 1,977.72 : x
  2. Step 2: Convert to fraction form
    3,469.74/4,787.42 = 1,977.72/x
  3. Step 3: Cross multiply
    3,469.74x = 4,787.42 × 1,977.72
  4. Step 4: Simplify right side
    3,469.74x = 9,468,166.39
  5. Step 5: Solve for x
    x = 9,468,166.39/3,469.74
  6. Step 6: Final answer
    x = 2,728.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.